Calculus Course Material

Cowculus Topic List

Preparation for Calculus (Lovelace's Favorite Method)

Topic 1 - Functions: Graphs, Properties and Analysis

Topic 2 - Polynomial Functions

Topic 3 - Trigonometric Functions

Topic 3 - Logarithmic Functions

Limits and their Properties (Friday Night)

Topic 4 - Finding Limits Graphically and Numerically

Topic 5 - Evaluating Limits Analytically

Topic 6 - Continuity and One-Sided Limits

Topic 7 - Infinite Limits

Differentiation (Rate of Change & Slope of a Tangent Line)

Topic 8 - The Derivative and the Tangent Line (Secant to Tangent & Average vs Instantaneous)

Topic 9 - Basic Differentiation Rules and Rates of Change

Topic 10 - Product and Quotient Rules

Topic 11 - The Chain Rule (Derivative of Mom)

Topic 12 - Implicit Differentiation

Topic 13 - Related Rates (Know the Classics)

Topic 14 - Extrema on an Interval

Topic 15 - Increasing and Decreasing Functions and the First Derivative Test (Test vs Definition)

Topic 16 - Concavity and the second Derivative Test

Topic 17 - Curve Sketching

Topic 18 - Optimization (Open or Closed Interval Method)

Integration

Topic 19 - Antiderivatives and Indefinite Integration

Topic 20 - Area Under the Curve

Topic 21 - Riemann Sums and Definite Integral

Topic 22 - The Fundamental Theorem of Calculus

Topic 23 - Integration by Substitution

Other Topics

Topic 24 - Natural Logarithmic Function: Differentiation

Topic 25 - Natural Logarithmic Function: Integration

Topic 26 - Exponential Functions: Differentiation and Integration

Topic 27 - Bases other than e

Topic 28 - Slope Fields

Topic 29 - Solving Differential Equations: Separation of Variables

Topic 30 - Area Between Two Curves

Topic 31 - Volume: Disk Method

Topic 32 - Integration by Parts

Topic 33 - L'Hopital's Rule